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Finding the Fourth Proportional to 6,086.56, 8,399.26 and 3,433.93

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Solution

The fourth proportional to 6,086.56, 8,399.26 and 3,433.93 is: 4,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.56 : 8,399.26 = 3,433.93 : x
  2. Step 2: Convert to fraction form
    6,086.56/8,399.26 = 3,433.93/x
  3. Step 3: Cross multiply
    6,086.56x = 8,399.26 × 3,433.93
  4. Step 4: Simplify right side
    6,086.56x = 28,842,470.89
  5. Step 5: Solve for x
    x = 28,842,470.89/6,086.56
  6. Step 6: Final answer
    x = 4,738.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.